RU2025775C1 - Device for sine-cosine transformation - Google Patents

Abstract

FIELD: computing engineering. SUBSTANCE: device for sine-cosine transformation has controllable amplitude detector 1 composed of amplitude detector 5, threshold detector 6 and switch 7; control pulse shaper 2 composed of single-threshold comparator 9 and two-threshold comparator 8; one-quadrant resolver 3, switching unit 4 including two switches and two controllable amplifiers. EFFECT: enhanced accuracy. 4 cl, 3 dwg

Description

 The invention relates to computer technology and can be used in information and computer systems, as well as in various functional converters, when it is necessary to simultaneously determine the value of sin X and cos X with a low error in the range of argument values from -π to + π.

 Known sine-cosine Converter [1], using the principle of approximation of a given function, containing several multiplier-divider devices, adders and scaling elements. Such a device approximates the value of the sine and cosine functions through fractions in which the numerator is presented as a polynomial of the third degree, and the denominator is represented as a polynomial of the second degree.

 This device is complex in design; it forms the functions of sine and cosine in only one quadrant of the argument change.

 A known converter of sine and cosine functions [2], containing a reference generator, a pulse shaper, a pulse-time converter, two limiter amplifiers, an integrating amplifier and two phase-sensitive rectifiers.

 The device generates sine and cosine functions at the output, but only in three quadrants of the argument change. Such a device has an error due to the drift of the integrator, has a low speed.

 The closest to the claimed one according to similar characteristics is a device for a sine-cosine converter [3], which generates a cosine function in the four quadrants of the argument change at the output. It is built on the basis of a sine-cosine single-quadrant converter and contains, in addition to it, an amplitude detector and an adder, with the blocks connected in series, an amplitude detector connected to the input of the device, a trigonometric converter connected to the output of the device, and a reference voltage applied to the adder.

 The disadvantage of this device is its limited functionality, since it cannot simultaneously form the function of the cosine and sine in all four quadrants at the output.

 The aim of the invention is the expansion of functionality.

 The purpose of the device for the sine-cosine converter, containing a single-quadrant sine-cosine converter and an amplitude detector connected to the input of the device, is achieved by the fact that the amplitude detector is made controllable and a control pulse shaper and a switch are introduced into the device, and the input of the control pulse shaper is connected to the input device, its first output is connected to the control input of a controlled amplitude detector, the output of which is connected to the input of the sine-cosine pre a browser, the first and second outputs of which are connected respectively to the first and second inputs of the switch, the third and fourth inputs of the latter are connected to the first and second outputs of the driver of the control pulses, respectively, and two outputs of the switch are connected to two outputs of the device, the controlled amplitude detector contains an amplitude detector, a threshold an amplitude detector and a switch, the first information input of which is connected to the output of the amplitude detector, the second information output is to the output of thresholds nth amplitude detector, wherein the inputs of the amplitude and threshold amplitude detectors are connected to the input of the controlled amplitude detector, the control input of the switch is connected to the control input of the controlled amplitude detector, and the output of the switch is the output of the controlled amplitude detector, the driver of the control pulses contains a two-threshold comparator and a single-threshold comparator, inputs which are connected to the input of the shaper, while the output of the two-threshold comparator is connected to the first the output of the driver, the output of the single-threshold comparator is connected to the second output of the driver, the switch contains the first and second switches, the first and second controlled amplifiers, the first information input of the first switch and the information input of the first controlled amplifier connected to the first input of the switch, the second information input of the first switch and information the input of the second controlled amplifier is connected to the second input of the switch, the control inputs of the first and second controlled amplifier are connected to the fourth input of the switch, the outputs of the first and second controlled amplifiers are connected respectively to the first and second information inputs of the second switch, the outputs of the first and second switches are connected to the first and second outputs of the switch, respectively, and the control inputs of the switches are connected to the third input of the switch.

 In FIG. 1 shows a functional diagram of a device for a sine-cosine converter, which includes a controlled amplitude detector 1, a driver 2 of the control pulses, a single-quadrant sine-cosine converter 3, a switch 4.

 The inputs of the controlled amplitude detector 1 and the driver 2 of the control pulses are connected to the input of the device. The first output of the shaper 2 of the control pulses is connected to the control input of the controlled amplitude detector 1, the output of the latter is connected to the input of the single-quadrant sine-cosine converter 3, the first and second outputs of which are connected to the first and second inputs of the switch 4, respectively, to the third and fourth inputs of which are connected the first and second outputs of the shaper 2 control pulses. Two outputs of switch 4 are connected to two outputs of the device.

 The controlled amplitude detector 1 contains an amplitude detector 5, a threshold amplitude detector 6, and a switch 7. The inputs of the amplitude 5 and threshold 6 detectors are connected to the input of the controlled amplitude detector 1, their outputs are connected respectively to the first and second information inputs of switch 7, the control input of which is connected to the control input of the controlled detector 1, and the output to the output of the controlled detector 1.

 Shaper 2 of the control pulses contains a two-threshold comparator 8 and a single-threshold comparator 9, the inputs of which are connected to the input of the shaper 2 of the control pulses, and the outputs, respectively, to the first and second outputs of the shaper 2 of the control pulses.

 Switch 4, the circuit of which is shown in FIG. 2 contains a first switch 10, a first control amplifier 11, a second controlled amplifier 12 and a second switch 13. The first and second information inputs of the first switch 10 are connected to the first and second inputs of the switch 4, respectively, and its output is connected to the first output of the switch 4. Information the inputs of the first 11 and second 12 controlled amplifiers are connected to the first and second inputs of the switch 4, respectively. The control inputs of the first 11 and second 12 controlled amplifiers are connected to the fourth input of the switch 4. Their outputs are connected respectively to the first and second information inputs of the second switch 13, the output of which is the second output of the switch 4. The control inputs of the switches 10 and 13 are connected to the third input of the switch 4 .

The principle of operation of the device is that under the influence of a signal from a controlled amplitude detector 1, controlled by signals from a driver 2 of the control pulses, a single-quadrant sine-cosine converter 3 generates an argument in every quarter of the period of change of the argument, which is proportional to the input signal and which varies in the interval of the argument from minus 180 to plus 180 ^about , the fourth parts of the negative values of the sine function and the fourth parts of the positive values of the cosine functions, and the switch 4 passes on two of their outputs are a quarter of the signals according to certain logic, and thus, at the first output of the device, a continuous cosine function is formed, and at the second - the sine on all four quadrants of the argument change.

 The device operates as follows.

The input voltage signal U _I varies from -2U _o to + 2U _o , which corresponds to the limit of the argument from -180 to +180 ^o . It is fed to the inputs of a controlled amplitude detector 1 and control pulse generator 2 and, respectively, to the inputs of an amplitude detector 5, a threshold amplitude detector 6, a two-threshold comparator 8, a single-threshold comparator 9, the amplitude characteristics of which are shown in FIG. 3a, b, c, d, respectively. The values of the input signal are plotted along the abscissa axes (in the voltage variation range -2U _o ≅ U _in ≅ + 2U _o ), and the ordinates are the values of the output signal of the corresponding block.

Amplitude 5 and threshold 6 detectors generate analog signals in the range of the input signal, and comparators 8 and 9 - logical signals. Amplitude detector 5 generates an analog voltage signal 0 ≅ U ₅ ≅ + 2U _o with input voltages -2U _o ≅ U _Rin ≅ 2U _o. The threshold amplitude detector 6 forms an analog signal with an amplitude of 0 ≅ U ₆ ≅ U _o at input voltages of -2U _o ≅ U _in '≅ -U _o and at -U _o ≅ U _in ''≅ + 2U _o .

The switch 7 on the control signal from the output of the two-threshold comparator 8 connects to its output a signal from its first or second input. At the input voltages -U _o <U _I <+ U _{o, the} two-threshold comparator 8 generates a logic "0" signal, according to this signal, the switch 7 connects the signal from its first input to its output and the signal from the output of the amplitude detector 5 passes to its output, which in this range varies from 0 to U _o : 0 ≅ U ₅ ≅ U _o . When | U _I | > U _о, at the output of the two-threshold comparator 8, a logical "1" signal is generated, which switches the output of switch 7 to its second input, the signal from the threshold amplitude detector 6 goes to the output of switch 7, and a signal U ₆ is formed at the output of switch 7, which varies in the range 0 ≅ U ₆ ≅ U _o at input voltages -2U _o ≅ U _in ≅ -U _o and U _o ≅ U _in ≅ 2U _o . The voltage output U _{7 of the} switch 7 is shown in FIG. 3d

Under the influence of a signal of four parts of voltage U ₇ from a controlled amplitude detector 1, a single-quadrant sine-cosine converter 3 generates four parts of the cosine signal at the first output and sine at the second output, respectively. The voltage signal U _{3-1 is} proportional to cos U ₇ and consists of parts U ¹ _3-1 , U ² _3-1 , U ³ _3-1 (Fig. 3e). The voltage signal U _{3-2 is} proportional to sinU ₇ and consists of parts U ⁴ _3-2 , U ² _3-2 , U ¹ _3-2 , U ³ _3-2 (Fig. 3g).

The signals U _3-1 and U _3-2 from the first and second outputs of the single-quadrant sine-cosine converter 3 are supplied to the first and second inputs of the switch 4, respectively, the control signals from comparators 8 and 9 are received to its third and fourth inputs, respectively. At the first output of the switch 4, a signal is generated proportional to the cosine in all four quadrants of the change in the argument and with corresponding changes in the input signal, as follows.

1. U _in <| U _o |. The output of switch 10 is connected to its first input by a logic signal "0" from a two-threshold comparator 8, and the first output of switch 4 is connected to the first output (3-1) of a single-quadrant sine-cosine converter 3. A signal passes to the first output of switch 4
U ¹ _3-1 = U ¹ _{out (4-1)} .

2. U _o ≅ U _in ≅ 2U _o . The output of the switch 10 is connected to its second input by a logical "1" control signal from a two-threshold comparator 8, and the first output of the switch 4 is connected to the second output (3-2) of the single-quadrant sine-cosine converter 3. A signal passes to the first output of the switch 4
U ³ _3-2 = U ² _{out (4-1)}
3. -2U _o ≅ U _in ≅ -U _o . The output of switch 10 is connected to its second input by a logic 1 control signal from a two-threshold comparator 8, and the first output of switch 4 is connected to output 3-2 of a single-quadrant sine-cosine converter 3. A signal passes to the first output of switch 4
U ⁴ _3-2 = U ³ _{out (4-1).}
Thus, at the first output of the switch 4 of three parts U ^1,2,3 _{output (4-1)} , a continuous signal is generated proportional to the cosine over the entire interval of variation of U _in or in the four quadrants of the change of argument (Fig. 3h).

 Similarly, a signal proportional to the sine is generated at the second output of the switch 4.

1. 0 ≅ U _in ≅ U _o . The output of the switch 13 is connected to its second input by a logic signal "0" from a two-threshold comparator 8, and the output 3-2 of a single-quadrant sine-cosine converter 3 is connected to the second output of the switch 4 through a second controlled amplifier 12 with a transmission coefficient K ₁₂ = -1 set by the control signal of logic "1" from a single-threshold comparator 9. A signal passes to the second output of the switch 4
-U ¹ _3-2 = U ¹ _{out (4-2)} .

2. U _o ≅ U _in ≅ 2U _o . The output of the switch 13 is connected to its first input by a logical "1" control signal from a two-threshold comparator 8, and the output 3-1 of a single-quadrant sine-cosine converter 3 is connected to the second output of the switch 4 through the first controlled amplifier 11 with a transmission coefficient K ₁₁ = + 1 set by the control signal of logic "1" from a single-threshold comparator 9. A signal passes to the second output of the switch 4
U ² _3-1 = U ² _{out (4-2)} .

3. -U _o ≅U _Rin ≅ 0. Output switch 13 is connected to its second input by a control signal of logical "0" with a two-threshold kompapatopa 8 and an output 3-2 odnokvadrantnogo cosine-sine converter 3 is connected to the second output via a controllable switch 4 amplifier 12 with a transmission coefficient K ₁₂ = + 1, set by the control signal of a logical "0" from a single-threshold comparator 9. A signal passes to the second output of the switch 4
U ² _3-2 = U ³ _{out (4-2)} .

4. -2U _o ≅ U _in ≅ -U _o . The output of the switch 13 is connected to its first input by a logical "1" control signal from a two-threshold comparator 8, and the output 3-1 of a single-quadrant sine-cosine converter 3 is connected to the second output of the switch 4 through a controlled amplifier 11 with a transmission coefficient K ₁₁ = -1, set by a logical "0" signal from a single-threshold comparator 9. A signal passes to the second output of the switch 4
-U ³ _3-1 = U ⁴ _{out (4-2)} .

Of the four parts of the signal U ^1,2,3 _{o (4-2)} , a continuous signal is generated at the second output of the switch, proportional to the sine on the entire time interval U _in or in all four quadrants of the argument change (Fig. 3i).

 Thus, the device will allow you to generate continuous sine and cosine signals on one whole period of the argument change at its two outputs.

 Blocks of the device can be implemented on standard electronic blocks. The controlled detector and control pulse generator can be performed according to various functional schemes, and the switch, depending on the functions generated at the output of the controlled amplitude detector.

 The controlled amplitude detector of the proposed design implements linear increasing functions, but the controlled amplitude detector of another design can implement, for example, decreasing functions or another function in four quadrants of the argument change.

 The design of the controlled amplitude detector allows the trigonometric converter to be single-quadrant, which simplifies the design of the device as a whole.

 The trigonometric transducer can be selected of any design, i.e., two-, three- or four-quadrant with corresponding changes in the functional diagrams of other units of the device, but in all cases this leads to a complication of the design, therefore, the embodiment of the device on a single-quadrant sine-cosine converter has preference .

Claims (4)

 1. A device for sine-cosine conversion, containing a single-quadrant sine-cosine converter and an amplitude detector connected to the input of the device, characterized in that the amplitude detector is made controllable and the control pulse shaper and a switch are additionally introduced into the device, the input of the control pulse shaper connected to the input of the device, its first output is to the control input of a controlled amplitude detector, the output of which is connected to the input of the sine-cosine pre photoelectret, the first and second outputs which are respectively connected to first and second inputs of the switch, the third and fourth inputs of the latter are connected to first and second outputs of the driver control pulses, respectively, and two switch outputs are connected to two outputs of the device.  2. The device according to claim 1, characterized in that the controllable amplitude detector comprises an amplitude detector, a threshold amplitude detector and a switch, the first information input of which is connected to the output of the amplitude detector, the second information input - to the output of the threshold amplitude detector, amplitude and threshold amplitude inputs detectors are connected to the input of the controlled amplitude detector, the control input of the switch is connected to the control input of the controlled amplitude detector, and the output of the switch The body is the output of a controlled amplitude detector.  3. The device according to claim 1, characterized in that the control pulse shaper comprises two- and single-threshold comparators, the inputs of which are connected to the input of the shaper, the output of the two-threshold comparator is connected to the first output of the shaper, the output of the single-threshold comparator is connected to the second input of the shaper.  4. The device according to claim 1, characterized in that the switch contains the first and second switches, the first and second controlled amplifiers, the first information input of the first switch and the information input of the first controlled amplifier are connected to the first input of the switch, the second information input of the first switch and information input the second controlled amplifier to the second input of the switch, the control inputs of the first and second controlled amplifiers to the fourth input of the switch, the outputs of the first and second controlled connectors to the first and second information inputs of the second switch, respectively, and the outputs of the first and second switches to the first and second outputs of the switch, respectively, the control inputs of the switches to the third input of the switch.

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